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LCAO Energies and Wave Functions in a Covalent Semiconductor with Topological Disorder
Author(s) -
Hulin M.
Publication year - 1972
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220520114
Subject(s) - eigenvalues and eigenvectors , linear combination of atomic orbitals , wave function , hamiltonian (control theory) , semiconductor , transformation matrix , algebraic number , transformation (genetics) , physics , quantum mechanics , topology (electrical circuits) , mathematical physics , mathematics , electron , chemistry , mathematical analysis , atomic orbital , combinatorics , mathematical optimization , biochemistry , gene , kinematics
The free electron model is used as a guide for an algebraic transformation of the LCAO Hamiltonian for a semiconducting material which exhibits topological disorder. The energies and wave functions are obtained in terms of the eigenvalues and eigenvectors of the “connectivity matrix” previously introduced.